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Ghost-free, finite, fourth order D=3 (alas) gravity

Deser, S. (2009) Ghost-free, finite, fourth order D=3 (alas) gravity. . (Submitted)

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Canonical analysis of a recently proposed [1] linear+quadratic curvature gravity model in D=3 displays its pure fourth derivative quadratic branch as a ghost-free (massless) excitation. Hence it both negates an old no-go theorem and is power-counting UV finite. It is also conformal-invariant, so the metric is underdetermined. While the 2-term branch is also ghost-free, it has, as shown in [1], a second-derivative, two-tensor equivalent, akin to the second order scalar-tensor form of ostensibly fourth order, R+R^2, actions. This correspondence fails for the pure quadratic branch: it is irreducibly fourth-order.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Deser, S.0000-0001-9285-9434
Additional Information:I thank Paul Townsend for a conversation at the Imperial College Duffest where this work was begun, for later informing me that O. Hohm had also noted the ”motivational”, G(h) ↔ O(0)X, argument in text and for subsequently insisting that since massive FP exorcizes ghosts, they must also disappear (as indeed they finally did) from the massive metric form. This work was supported by Grants NSF 07-57190 and DOE DE-FG02-92-ER40701.
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Department of Energy (DOE)DE-FG02-92-ER40701
Record Number:CaltechAUTHORS:20161219-091830306
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72929
Deposited By: Tony Diaz
Deposited On:19 Dec 2016 17:23
Last Modified:03 Oct 2019 16:22

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